For a new shooter such as your young lad, there are some inexpensive kits sold by Hoppe's and some of the other manufacturers.
Basics would be: Cleaning Rod with applicable tips
Cotton Patches sized for the corresponding caliber
Gun Oil (lubricant)
Your kit need not be fancy nor expensive. With that being said, my cleaning kit has become so intricate, I have commandeered an old suitcase and use that to keep all my cleaning equipment in.
May the Schwartz Be With You.
NRA Life Member